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Finding the Fourth Proportional to 458,661,701.30, 643,940,367.10 and 458,661,701.30

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Solution

The fourth proportional to 458,661,701.30, 643,940,367.10 and 458,661,701.30 is: 643,940,367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,661,701.30 : 643,940,367.10 = 458,661,701.30 : x
  2. Step 2: Convert to fraction form
    458,661,701.30/643,940,367.10 = 458,661,701.30/x
  3. Step 3: Cross multiply
    458,661,701.30x = 643,940,367.10 × 458,661,701.30
  4. Step 4: Simplify right side
    458,661,701.30x = 295,350,784,309,832,576
  5. Step 5: Solve for x
    x = 295,350,784,309,832,576/458,661,701.30
  6. Step 6: Final answer
    x = 643,940,367.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.